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Finding the Fourth Proportional to 28,834.56, 39,780 and 20,349

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Solution

The fourth proportional to 28,834.56, 39,780 and 20,349 is: 28,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,834.56 : 39,780 = 20,349 : x
  2. Step 2: Convert to fraction form
    28,834.56/39,780 = 20,349/x
  3. Step 3: Cross multiply
    28,834.56x = 39,780 × 20,349
  4. Step 4: Simplify right side
    28,834.56x = 809,483,220
  5. Step 5: Solve for x
    x = 809,483,220/28,834.56
  6. Step 6: Final answer
    x = 28,073.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.